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Search: MSC category 14E07 ( Birational automorphisms, Cremona group and generalizations )

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1. CJM Online first

Pan, Ivan Edgardo; Simis, Aron
Cremona Maps of de Jonquières Type
This paper is concerned with suitable generalizations of a plane de Jonquières map to higher dimensional space $\mathbb{P}^n$ with $n\geq 3$. For each given point of $\mathbb{P}^n$ there is a subgroup of the entire Cremona group of dimension $n$ consisting of such maps. One studies both geometric and group-theoretical properties of this notion. In the case where $n=3$ one describes an explicit set of generators of the group and gives a homological characterization of a basic subgroup thereof.

Keywords:Cremona map, de Jonquières map, Cremona group, minimal free resolution
Categories:14E05, 13D02, 13H10, 14E07, 14M05, 14M25

2. CJM 2008 (vol 60 pp. 64)

Daigle, Daniel
Classification of Linear Weighted Graphs Up to Blowing-Up and Blowing-Down
We classify linear weighted graphs up to the blowing-up and blowing-down operations which are relevant for the study of algebraic surfaces.

Keywords:weighted graph, dual graph, blowing-up, algebraic surface
Categories:14J26, 14E07, 14R05, 05C99

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